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Jessica Alba and her husband Cash Warren welcomed a healthy baby girl on June 7th, reports gossip site PerezHilton.com. The couple has named the baby Honor Marie Warren.

According to Perez, Alba’s father Mark chatted with “Latina” magazine about the birth of his granddaughter, saying: “I was really choked up. I never thought that I would cry so much. The fact that this little girl came out of my daughter’s stomach, it blows my mind.”

The actress’s brother Josh Alba tells E! News the newborn baby has his sister’s stunning looks.

“We are all just ecstatic,” says Josh Alba. “She definitely looks like an Alba to me.”

After announcing that she was pregnant, Alba and Warren became engaged in December and later married at a Beverly Hills courthouse in May.

Jessica Alba and her baby’s daddy, director, Cash Warren got married on Monday in a small and quiet ceremony.

The nuptials were confirmed via email by Alba’s publicist.

According to “People” magazine, Alba and Warren applied for a marriage license on Monday and were wed by a courthouse employee about an hour later.

The couple met on the set of the 2005 summer blockbuster, “The Fantastic Four” and are expecting their first child in the summer.

Jessica Alba and boyfriend Cash Warren are pregnant.

“I can confirm that Jessica and Cash are expecting a baby in late spring, early summer,” Alba’s rep announced yesterday.

Alba and Warren broke up for a short period of time earlier this year, but it wasn’t long before they were back together. The pair met on the set of “The Fantastic Four,” as Warren was the director’s assistant.